I share much of the sympathy with the Varieties of Capitalism approach and would agree that it remains an important framework when analysing the global political economy. However, what seems to be missing here is a plausible argument about why such national Variants of Capitalism have and will survive when companies are more strongly able to choose the legal system that they are subject to. Legally, this relates to the question of how the field of private international law and its related choices for party autonomy and territoriality impact the survival of national variants of capitalism. In other words, once companies may choose the system applicable to them merely by means of the act of incorporation of the choice for a legal system in their contracts, how can this not lead to a certain degree of regulatory competition and the preference for a few capitalist systems (for this critique on the Varieties of Capitalism, cf Bohle/Greskovits, Varieties of Capitalism "tout court", European Journal of Sociology 2009, 355-386.
My comment here is not so much about the "survival" of a variant of capitalism as such, but more on the problem of continuing relevance in the face of increased choice by private actors.